1.y=7x^3-x^-2+1/x(differentiate solve)
To differentiate the function y = 7x^3 - x^-2 + 1/x, we use the power rule for differentiation and the differentiation rule for constant multiples and the sum/difference rule.
Given the function y = 7x^3 - x^-2 + 1/x, we can start by finding the derivative of each term separately.
1. The derivative of 7x^3 is 21x^2 (by applying the power rule for differentiation).
2. The derivative of x^-2 is -2x^-3 (by applying the power rule for differentiation).
3. The derivative of 1/x is -1/x^2 (by applying the power rule for differentiation).
Putting it all together, the derivative of y = 7x^3 - x^-2 + 1/x is:
dy/dx = 21x^2 - 2/x^3 - 1/x^2